Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get
Now in Δ PQT and Δ QRS we have
Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
Answer:
Steps below:)
Step-by-step explanation:
1. Find the mortgage amount.
2. Choose a interest rate on your mortgage.
3. Choose a mortgage term that is the median for your financial needs.
4. Calculate the monthly principal and interest payment using a financial calculator, a spreadsheet program such as Excel or an online mortgage calculator.
5. Determine the monthly amount you will pay into escrow each for payment of your property taxes.
Answer: x=sqrt10-2, x=-sqrt10-2
Step-by-step explanation: square root both sides of the equation.
x+2=sqrt10,-sqrt10
subtract 2 from both sides of the equation
x=sqrt10-2, -sqrt10-2
We know, opposite sides are parallelogram is parallel, therefore slopes are equal.
Slope of line one :
So, equation of other line passing through (-4,5) and have slope of -0.5 is :
y-5 = -0.5( x-(-4))
y-5 = -0.5x - 2
y + 1/2x = 3
2y + x = 6
Therefore, equation of line containing the (-4, 5) is 2y + x = 6.
Hence, this is the required solution.
Answer:
7.92 miles (aprox.)
Step-by-step explanation:
1 hour = 60 minutes
19mph = 19miles/hour = 19miles/60 minutes
Proportions:
19 miles ⇔ 60 minutes
W miles ⇔ 25 minutes
W = 19*25/60
W = 7.92 miles (aprox)
